Wireless sensor network comprises of tiny devices which are powered by limited energy resources. Therefore, providing methods to reduce energy consumption is essential to develop this sort of networks. Clustering is one of the major techniques which is introduced to increase wireless sensor network lifetime through providing hierarchy structure. This article represents a semi-distributed fuzzy algorithm to cluster homogeneous nodes by using virtual grids in wireless sensor networks. First phase of FSCVG clustering includes selecting the initial cluster heads and determining virtual grids which are done in a centralized approach by the base station. The second phase follows a distributed approach, as all of the nodes involve in the cluster head selection process. FSCVG uses remaining energy, distance to base station and centrality as the fuzzy logic parameters to select the cluster heads in both phases. FSCVG utilizes multi-hop cluster based routing and also an adaptive threshold with the aim of prolonging of network lifetime. FSCVG algorithm is compared to other methods in five scenarios. The assessment criteria used in the comparison include the network remaining energy, the number of dead nodes, the first dead node, half of dead nodes and the last dead node. The results show that proposed algorithm could reduce network energy consumption and prolong network lifetime.

无线传感器网络由微小的设备组成，这些设备由有限的能源供电。因此，提供减少能耗的方法对于开发此类网络至关重要。群集是通过提供层次结构来增加无线传感器网络寿命的主要技术之一。本文介绍了一种在无线传感器网络中使用虚拟网格对同类节点进行聚类的半分布式模糊算法。FSCVG群集的第一阶段包括选择初始群集头并确定虚拟网格，这些网格由基站以集中方式完成。第二阶段遵循分布式方法，因为所有节点都参与了簇头选择过程。FSCVG使用剩余的能量，到基站的距离和中心性作为模糊逻辑参数来选择两个阶段的簇头。FSCVG利用基于多跳群集的路由以及自适应阈值来延长网络寿命。在五种情况下，将FSCVG算法与其他方法进行了比较。比较中使用的评估标准包括网络剩余能量，死节点数，第一个死节点，一半死节点和最后一个死节点。结果表明，该算法可以降低网络能耗，延长网络寿命。比较中使用的评估标准包括网络剩余能量，死节点数，第一个死节点，一半死节点和最后一个死节点。结果表明，该算法可以降低网络能耗，延长网络寿命。比较中使用的评估标准包括网络剩余能量，死节点数，第一个死节点，一半死节点和最后一个死节点。结果表明，该算法可以降低网络能耗，延长网络寿命。